Doing it that way kind of half-defeats the purpose of giving the person in last place the first shot at a player on waivers.

Because if DMC claims someone tomorrow he will get the guy automatically, and if better players become available later in the week, he will now have the last priority instead of the first.

You could reset the order after he makes a successful claim and keep him first, but you still need to account for a situation in which he claims a player on Tuesday, and then on Wednesday, while his Tuesday claim is still pending, claims someone else and you don't know about his first claim.

Hence my suggestion that he post the fact that he was making these claims.

If it's your intention that the person in last place have the first waiver pick only once each week, then leave it the way it is - just change the priority order once, at the beginning of each week - although, as I say, I think that half-defeats the purpose of doing this in the first place.